On the stability of linear III-posed problems with a prescribed energy bound

DOI10.1080/00036819708840537zbMath0878.35117OpenAlexW2088310050WikidataQ58249811 ScholiaQ58249811MaRDI QIDQ4351446

Andrei A. Lyashenko

Publication date: 18 December 1997

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036819708840537

zbMATH Keywords

stabilityill-posed problema priori energy bound

Mathematics Subject Classification ID

Ill-posed problems for PDEs (35R25) General theory of partial differential operators (47F05) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30)

Cites Work

• The Dirichlet problem for the wave equation
• Continuous dependence on data for solutions of partial differential equations with a prescribed bound
• Stabilization and regularization for solutions of an ill posed problem for the wave equation
• Stability of semilinear ill‐posed problems with a prescribed energy bound
• The Dirichlet problem for the vibrating string equation
• The Dirichlet Problem for a Hyperbolic Equation

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